改进熵权和灰关联模型的装备能力评估

doi:10.12305/j.issn.1001-506X.2026.02.14

摘要/Abstract

摘要：

针对传统信息熵法和灰关联模型对装备试验数据量和质量的要求过高、难以保证装备性能准确评估的问题，提出一种改进的熵权法和灰关联模型。该方法采用Bayes Bootstrap方法对小样本试验数据进行参数估计，计算出装备指标参数的点估计值，并构造判断比较矩阵；利用信息熵法结合装备评估指标的参数估计值完成指标客观权重的确定；通过考察装备指标参数点估计值与正、负理想解的位置关系，求解每个装备指标点估计值的正、负关联系数并聚合得出评估结果。运用该方法对侦察卫星系统探测能力进行评估，并与传统信息熵法和灰关联模型进行对比，证明了改进熵权和灰关联模型的科学性和有效性，为其在评估方法中的运用提供参考。

关键词: 信息熵, 参数估计, 判断比较矩阵, 理想解, 灰关联

Abstract:

Addressing the issue that traditional information entropy method and grey correlation model have excessively high requirements for the quantity and quality of equipment test data, making it difficult to ensure accurate evaluation of equipment performance, an improved entropy weight method and grey correlational model are proposed. This method uses Bayes Bootstrap method to estimate the parameters of small sample experimental data, calculates the point estimation values of equipment indicator parameters, and constructs a judgment comparison matrix. the information entropy method is combined with parameter estimation values of equipment evaluation indicators to determine the objective weights of indicators. By examining the positional relationship between the estimated values of equipment indicator parameter points and the positive and negative ideal solutions, the positive and negative correlation coefficients of each estimated value of equipment indicator points are solved and aggregated to obtain the evaluation results. The use of this method to evaluate the detection capability of satellite systems and compare it with traditional information entropy method and grey correlation model proves the scientific and effective nature of the improved entropy weight and grey correlation model, providing reference for their application in evaluation methods.

Key words: information entropy, parameter estimation, judgment comparison matrix, ideal solution, grey correlation

中图分类号:

E 92

王博, 周文雅, 柯肇捷, 宗飞, 刘君. 改进熵权和灰关联模型的装备能力评估[J]. 系统工程与电子技术, 2026, 48(2): 524-534.

Bo WANG, Wenya ZHOU, Zhaojie KE, Fei ZONG, Jun LIU. Improved entropy weight and grey correlation model for equipment capability evaluation[J]. Systems Engineering and Electronics, 2026, 48(2): 524-534.

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指标	专家序号
指标	1	2	3	4	5
探测视场	0.96	0.98	0.93	0.95	0.96
探测距离	0.84	0.86	0.92	0.88	0.93
成像距离	0.73	0.78	0.80	0.81	0.76
可探测信号特征	0.88	0.92	0.86	0.90	0.87
探测概率	0.93	0.92	0.88	0.95	0.88
测距精度	0.86	0.82	0.88	0.84	0.80
定位精度	0.88	0.93	0.94	0.85	0.81
成像分辨率	0.66	0.67	0.76	0.72	0.78
探测频率	0.85	0.90	0.93	0.88	0.91
探测响应时间	0.92	0.88	0.90	0.88	0.89

指标	专家序号
指标	1	2	3	4	5
探测视场	0.88	0.90	0.86	0.92	0.83
探测距离	0.88	0.82	0.80	0.86	0.85
成像距离	0.82	0.76	0.83	0.81	0.83
可探测信号特征	0.85	0.82	0.86	0.81	0.83
探测概率	0.85	0.83	0.80	0.85	0.88
测距精度	0.90	0.93	0.92	0.86	0.90
定位精度	0.85	0.83	0.84	0.85	0.81
成像分辨率	0.82	0.87	0.86	0.82	0.88
探测频率	0.65	0.70	0.73	0.68	0.71
探测响应时间	0.82	0.78	0.80	0.78	0.79

指标	专家序号
指标	1	2	3	4	5
探测视场	0.82	0.88	0.83	0.85	0.86
探测距离	0.74	0.76	0.72	0.78	0.73
成像距离	0.83	0.88	0.80	0.88	0.86
可探测信号特征	0.85	0.82	0.76	0.80	0.83
探测概率	0.90	0.91	0.89	0.91	0.86
测距精度	0.76	0.72	0.78	0.74	0.70
定位精度	0.78	0.73	0.74	0.75	0.71
成像分辨率	0.86	0.87	0.86	0.82	0.88
探测频率	0.75	0.70	0.73	0.78	0.71
探测响应时间	0.82	0.66	0.80	0.68	0.79

指标	专家序号
指标	1	2	3	4	5
探测视场	0.90	0.92	0.96	0.94	0.91
探测距离	0.94	0.96	0.92	0.98	0.93
成像距离	0.83	0.88	0.80	0.81	0.86
可探测信号特征	0.78	0.82	0.76	0.80	0.77
探测概率	0.83	0.82	0.78	0.85	0.78
测距精度	0.86	0.82	0.88	0.84	0.80
定位精度	0.78	0.83	0.84	0.85	0.86
成像分辨率	0.86	0.87	0.76	0.82	0.88
探测频率	0.95	0.96	0.93	0.98	0.96
探测响应时间	0.92	0.98	0.93	0.96	0.92

方法	1号	2号	3号	4号
传统灰关联法	0.4907	0.5394	0.5186	0.4856
Bayes灰关联法	0.5075	0.6311	0.5476	0.5079